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» Polynomial Interpretations and the Complexity of Algorithms
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AMC
2008
78views more  AMC 2008»
14 years 12 months ago
Information processing in complex networks: Graph entropy and information functionals
This paper introduces a general framework for defining the entropy of a graph. Our definition is based on a local information graph and on information functionals derived from the...
Matthias Dehmer
COCO
2005
Springer
128views Algorithms» more  COCO 2005»
15 years 5 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
ICASSP
2008
IEEE
15 years 6 months ago
Worst- and average-case complexity of LLL lattice reduction in MIMO wireless systems
Lattice reduction by means of the LLL algorithm has been previously suggested as a powerful preprocessing tool that allows to improve the performance of suboptimal detectors and t...
Joakim Jalden, Dominik Seethaler, Gerald Matz
CC
2010
Springer
135views System Software» more  CC 2010»
14 years 12 months ago
Counting Irreducible Components of Complex Algebraic Varieties
Abstract. We present an algorithm for counting the irreducible components of a complex algebraic variety defined by a fixed number of polynomials encoded as straight-line programs ...
Peter Bürgisser, Peter Scheiblechner
CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
15 years 6 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach
Coppersmith described at Eurocrypt 96 an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later pro...
Jean-Sébastien Coron